I was showed this part as A A7 D E7 and have played it that way for years. Just adding the G bass note achieves this, and you can walk that down to the F# bass note within the D (with a little fancy fingering) on your way to the E7.

The version I do is based on Dylan's Highway 61 recording, but I've always played it as

IA/G/I 2/4 D/I E///I E///I

I'm a bass player so I could be actually playing the dominant seventh note of the A7 chord when I go to G, but I think it works fine either way. Substituting the D for an F# bass note (the major third of the D chord) would also work in a descending bassline from A down to E.